X= salmon cost per pound
y= tuna cost per pound
$15x + $8y= $259
$12x + $6y= $204
Solve for one variable in one equation and substitute it in the other equation.
15x + 8y= 259
subtract both sides by 8y
15x= 259 - 8y
divide both sides by 15
x=(259-8y)/15
Substitute in second equation
12x + 6y= 204
12((259-8y)/15) + 6y= 204
multiply everything by 15 to eliminate fraction
(15)(12(259-8y)/15) + (15)(6y)= (204)(15)
(12*259) + (12*-8y) + 90y= 3060
multiply inside parentheses
3108 - 96y + 90y= 3060
combine like terms & subtract 3108 from both sides
-6y= -48
divide both sides by -6
y= $8 cost of tuna per pound
Substitute y=8 in either equation
15x + 8y= 259
15x + 8(8)= 259
15x + 64= 259
15x= 195
x= $13 cost of salmon per pound
CHECK:
12x + 6y= 204
12(13) + 6(8)= 204
156 + 48= 204
204= 204
ANSWER: One pound of salmon costs $13 and one pound of tuna costs $8.
Hope this helps! :)
Answer:
add 8 to the 12 and then multiply it by two
Step-by-step explanation:
8 + 12 = 20 * 2 = $40
Answer:
69
Step-by-step explanation:
The range is the largest number subtracted by the smallest number.
28-4=24 is the range.
